The polar plot of the transfer function

G (s) = 10 (s + 1) / (s + 10)

will be in the

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BPSC AE Paper 6 (Electrical) 25 Mar 2022 Official Paper

Answer 1

Polar plot:

The Polar plot is a plot, which can be drawn between the magnitude and the phase angle of the transfer function by varying frequency from 0 to ∞.

Given, G(s) = \({10(s+1)\over (s+10)}\)

G(jω) = \({10(jω+1)\over (jω+10)}\)

the magnitude of the transfer function will be:

M = \({10\sqrt{(1+ω^2)}\over \sqrt{(100+ω^2)}}\)

The phase of the transfer function will be:

ϕ = tan^-1(ω) - tan^-1\(({ω\over 10})\)

At ω = 0

M₁ = 1

ϕ₁ = 0°

At ω = ∞

M₂ = 10

ϕ₂ = 0°

F1 Savita Engineering 27.05.2022 D32